Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems
Optimization and Control
2024-11-12 v2 Numerical Analysis
Systems and Control
Systems and Control
Numerical Analysis
Abstract
Interpolatory necessary optimality conditions for -optimal reduced-order modeling of non-parametric linear time-invariant (LTI) systems are known and well-investigated. In this work, using the general framework of -optimal reduced-order modeling of parametric stationary problems, we derive interpolatory -optimality conditions for parametric LTI systems with a general pole-residue form. We then specialize this result to recover known conditions for systems with parameter-independent poles and develop new conditions for a certain class of systems with parameter-dependent poles.
Cite
@article{arxiv.2401.10047,
title = {Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems},
author = {Petar Mlinarić and Peter Benner and Serkan Gugercin},
journal= {arXiv preprint arXiv:2401.10047},
year = {2024}
}
Comments
9 pages